What is the Greatest Common Factor of 74528 and 74542?

Greatest common factor (GCF) of 74528 and 74542 is 2.

GCF(74528,74542) = 2

We will now calculate the prime factors of 74528 and 74542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74528 and 74542.

How to find the GCF of 74528 and 74542?

We will first find the prime factorization of 74528 and 74542. After we will calculate the factors of 74528 and 74542 and find the biggest common factor number .

Step-1: Prime Factorization of 74528

Prime factors of 74528 are 2, 17, 137. Prime factorization of 74528 in exponential form is:

74528 = 2⁵ × 17¹ × 137¹

Step-2: Prime Factorization of 74542

Prime factors of 74542 are 2, 13, 47, 61. Prime factorization of 74542 in exponential form is:

74542 = 2¹ × 13¹ × 47¹ × 61¹

Step-3: Factors of 74528

List of positive integer factors of 74528 that divides 74528 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 137, 272, 274, 544, 548, 1096, 2192, 2329, 4384, 4658, 9316, 18632, 37264

Step-4: Factors of 74542

List of positive integer factors of 74542 that divides 74528 without a remainder.

1, 2, 13, 26, 47, 61, 94, 122, 611, 793, 1222, 1586, 2867, 5734, 37271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74528 and 74542. The biggest common factor number is the GCF number.
So the greatest common factor 74528 and 74542 is 2.

Also check out the Least Common Multiple of 74528 and 74542